λ
Ratio Atlas
Atlas › Integer Profiles › Node 477,666
477,666
2 × 32 × 7 × 17 × 223
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 17 × 223
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 1,257,984
Proper Divisor Sum 780,318
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #477637 ← → #477671

Radix Representation

Decimal 477666
Binary 1110100100111100010 (19 bits)
Octal 0o1644742
Hexadecimal 0x749E2

Divisor Catalog (48)

1 2 3 6 7 9 14 17 18 21 34 42 51 63 102 119 126 153 223 238 306 357 446 669 714 1,071 1,338 1,561 2,007 2,142 3,122 3,791 4,014 4,683 7,582 9,366 11,373 14,049 22,746 26,537 28,098 34,119 53,074 68,238 79,611 159,222 238,833 477,666

Collatz Trajectory (76 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

477,666 238,833 716,500 358,250 179,125 537,376 268,688 134,344 67,172 33,586 16,793 50,380 25,190 12,595 37,786 18,893 56,680 28,340 14,170 7,085 21,256 10,628 5,314 2,657 7,972 3,986 1,993 5,980 2,990 1,495 4,486 2,243 6,730 3,365 10,096 5,048 2,524 1,262 631 1,894 947 2,842 1,421 4,264 2,132 1,066 533 1,600 800 400 200 100 50 25 76 38 19 58 29 88

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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